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Finding the Fourth Proportional to 84,068.63, 116,017.13 and 46,345.31

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Solution

The fourth proportional to 84,068.63, 116,017.13 and 46,345.31 is: 63,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,068.63 : 116,017.13 = 46,345.31 : x
  2. Step 2: Convert to fraction form
    84,068.63/116,017.13 = 46,345.31/x
  3. Step 3: Cross multiply
    84,068.63x = 116,017.13 × 46,345.31
  4. Step 4: Simplify right side
    84,068.63x = 5,376,849,390.94
  5. Step 5: Solve for x
    x = 5,376,849,390.94/84,068.63
  6. Step 6: Final answer
    x = 63,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.